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30934144 = 27383631
BaseRepresentation
bin111011000000…
…0010010000000
32011012121200001
41312000102000
530404343034
63023005344
7523636003
oct166002200
964177601
1030934144
111650930a
12a439854
136541237
14417353a
152ab0a14
hex1d80480

30934144 has 32 divisors (see below), whose sum is σ = 61885440. Its totient is φ = 15402240.

The previous prime is 30934133. The next prime is 30934153. The reversal of 30934144 is 44143903.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48709 + ... + 49339.

It is an arithmetic number, because the mean of its divisors is an integer number (1933920).

Almost surely, 230934144 is an apocalyptic number.

It is an amenable number.

30934144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

30934144 is an equidigital number, since it uses as much as digits as its factorization.

30934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 30934144 is about 5561.8471751748. The cubic root of 30934144 is about 313.9154572453.

It can be divided in two parts, 309 and 34144, that added together give a triangular number (34453 = T262).

The spelling of 30934144 in words is "thirty million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 383 631 766 1262 1532 2524 3064 5048 6128 10096 12256 20192 24512 40384 49024 80768 241673 483346 966692 1933384 3866768 7733536 15467072 30934144